There are two basic ways to convert binary numbers to decimal numbers. The flowchart in the main graphic shows one example.

You can also convert binary numbers to decimal numbers by multiplying the binary digits by the base number of the system – Base 2 – raised to the exponent of its position.

Conversion exercise.

Lab Activity   In this lab, you will learn to work with the binary numbering system. You will convert binary numbers (base 2) to decimal numbers (base 10) and decimal to binary.

Example:

Convert the binary number 01110000 to a decimal number. (Note: Work from right to left. Remember that anything raised to the 0 power is 1; therefore 2⁰ = 1.)

0 x 20 =	0
0 x 21 =	0
0 x 22 =	0
0 x 23 =	0
1 x 24 =	16
1 x 25 =	32
1 x 26 =	64
0 x 27 =	0
	112

 

	Web Links
	How Bytes and Bits Work